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Finding the Fourth Proportional to 287,156.93, 430,735.41 and 76,789.40

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Solution

The fourth proportional to 287,156.93, 430,735.41 and 76,789.40 is: 115,184.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,156.93 : 430,735.41 = 76,789.40 : x
  2. Step 2: Convert to fraction form
    287,156.93/430,735.41 = 76,789.40/x
  3. Step 3: Cross multiply
    287,156.93x = 430,735.41 × 76,789.40
  4. Step 4: Simplify right side
    287,156.93x = 33,075,911,538.98
  5. Step 5: Solve for x
    x = 33,075,911,538.98/287,156.93
  6. Step 6: Final answer
    x = 115,184.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.